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Published in 2025 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-025-10313-0
Abstract: Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. In the untwisted case,…
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Keywords:
exceptional collection;
algebra;
endomorphism algebras;
algebras equivariant ... See more keywords
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Published in 2020 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2020.44
Abstract: Abstract We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection…
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Keywords:
line bundles;
full exceptional;
cubic threefold;
exceptional collection ... See more keywords